Question

Which is the larger unit, a degree or a radian? Are they very close in size, or very different

Answer 1

well, again, recall, there are 180° in π radians, let's now check how many degrees in 1 radian then.


`\bf \begin{array}{ccll} de grees&radians\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 180&\pi \\ d&1 \end{array}\implies \cfrac{180}{d}=\cfrac{\pi }{1}\implies \cfrac{180\cdot 1}{\pi }=d`

that many degrees in 1 radian, just 1 radian.

well, how close are their sizes? surely you'd know.